Question

Simplify final form.

Answer 1

`\left((3)/(\sqrt5)\right)\left((4)/(\sqrt3)\right)=(3\cdot4)/(\sqrt5\cdot\sqrt3)=(12)/(√(5\cdot3))=(12)/(√(15))\\\\=(12\cdot√(15))/(√(15)\cdot√(15))=(12√(15))/(15)=(12√(15):3)/(15:3)=(4√(15))/(5)`

`Used:\\\\√(a)\cdot√(b)=√(ab)\\\\√(a)\cdot√(a)=a`